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Finding the Third Proportional to 934,326 and 1,442,894

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Solution

The third proportional to 934,326 and 1,442,894 is: 2,228,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,326 : 1,442,894 = 1,442,894 : x
  2. Step 2: Convert to fraction form
    934,326/1,442,894 = 1,442,894/x
  3. Step 3: Cross multiply
    934,326x = 1,442,894 × 1,442,894
  4. Step 4: Simplify right side
    934,326x = 2,081,943,095,236
  5. Step 5: Solve for x
    x = 2,081,943,095,236/934,326
  6. Step 6: Final answer
    x = 2,228,283.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.